Let the random variable x obey the standard normal distribution n (0,1), and find the probability density of y = 2x ^ 2 + 1 and y = e ^ X,

Let the random variable x obey the standard normal distribution n (0,1), and find the probability density of y = 2x ^ 2 + 1 and y = e ^ X,

Lazy to write, trouble, formula is not easy to express
Basic idea: first seek the distribution function, then get the density function by derivation. Simple things